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लॉन्गस्टाफ-श्वार्ट्ज़ विधि×SABR मॉडल×
क्षेत्रमात्रात्मक वित्तमात्रात्मक वित्त
परिवारMachine learningRegression model
उद्भव वर्ष20012002
प्रवर्तकFrancis A. Longstaff and Eduardo S. SchwartzPatrick S. Hagan
प्रकारValuation AlgorithmInterest Rate Model
मौलिक स्रोतLongstaff, F. A., & Schwartz, E. S. (2001). Valuing American options by simulation: A simple least-squares approach. Review of Financial Studies, 14(1), 113-147. DOI ↗Hagan, P. S., Kumar, D., Lesniewski, A. S., & Woodward, D. E. (2002). Managing smile risk. Wilmott Magazine, 1, 84-108. link ↗
उपनामLSM, Least-Squares MC, Optimal StoppingStochastic Volatility Model
संबंधित44
सारांशThe Longstaff-Schwartz method (2001) is a Monte Carlo algorithm for pricing American options and Bermudan swaptions by approximating the optimal exercise boundary via least-squares regression. It has become the industry standard for pricing path-dependent derivatives where analytical solutions do not exist.The SABR (Stochastic Alpha-Beta-Rho) model is a stochastic volatility framework introduced by Hagan et al. in 2002 for valuing interest rate derivatives. It captures the smile effect in implied volatility through correlated Brownian motions and has become industry standard for swaption and caplet pricing.
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